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Search: id:A108344
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| A108344 |
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Least positive k such that k * Z^n + 1 is prime, where Z = 10^100+267, the first prime greater than a googol. |
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+0
2
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| 114, 1368, 1152, 232, 3336, 1872, 1206, 228, 1780, 1318, 700, 1038, 3534, 6652, 192, 1948
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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Other terms are a(30)=438 and a(45)=354. All values have been proved prime. Primality proof for a(45): PFGW Version 1.2.0 for Windows [FFT v23.8] Primality testing 354*(10^100+267)^45+1 [N-1, Brillhart-Lehmer-Selfridge] Reading factors from helper file help.txt Running N-1 test using base 3 Calling Brillhart-Lehmer-Selfridge with factored part 99.94% 354*(10^100+267)^45+1 is prime! (2.5654s+0.0037s)
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CROSSREFS
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Sequence in context: A122279 A126169 A002952 this_sequence A162675 A112485 A084877
Adjacent sequences: A108341 A108342 A108343 this_sequence A108345 A108346 A108347
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KEYWORD
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more,nonn
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AUTHOR
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Jason Earls (zevi_35711(AT)yahoo.com), Jul 01 2005
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